Search a number
-
+
255515242515552 = 2533295735234393
BaseRepresentation
bin111010000110001111000111…
…010000111100110001100000
31020111201000111120121011212000
4322012033013100330301200
5231442330204040444202
62303234025410404000
7104551236622650345
oct7206170720746140
91214630446534760
10255515242515552
1174462451149988
12247a8695890600
13ac75ca3a61a46
14471500a30a7cc
151e818102be91c
hexe863c743cc60

255515242515552 has 48 divisors (see below), whose sum is σ = 745252790672880. Its totient is φ = 85171747504896.

The previous prime is 255515242515527. The next prime is 255515242515581.

255515242515552 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 1 + 52 + 4 + 25 + 15 + 552 = 666.

255515242515552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147867616333 + ... + 147867618060.

It is an arithmetic number, because the mean of its divisors is an integer number (15526099805685).

Almost surely, 2255515242515552 is an apocalyptic number.

It is an amenable number.

255515242515552 is an abundant number, since it is smaller than the sum of its proper divisors (489737548157328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255515242515552 is a wasteful number, since it uses less digits than its factorization.

255515242515552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295735234412 (or 295735234398 counting only the distinct ones).

The product of its digits is 25000000, while the sum is 54.

The spelling of 255515242515552 in words is "two hundred fifty-five trillion, five hundred fifteen billion, two hundred forty-two million, five hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 295735234393 591470468786 887205703179 1182940937572 1774411406358 2365881875144 2661617109537 3548822812716 4731763750288 5323234219074 7097645625432 7984851328611 9463527500576 10646468438148 14195291250864 15969702657222 21292936876296 28390582501728 31939405314444 42585873752592 63878810628888 85171747505184 127757621257776 255515242515552